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Finding the Fourth Proportional to 2,106.35, 3,159.72 and 873.73

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Solution

The fourth proportional to 2,106.35, 3,159.72 and 873.73 is: 1,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.35 : 3,159.72 = 873.73 : x
  2. Step 2: Convert to fraction form
    2,106.35/3,159.72 = 873.73/x
  3. Step 3: Cross multiply
    2,106.35x = 3,159.72 × 873.73
  4. Step 4: Simplify right side
    2,106.35x = 2,760,734.26
  5. Step 5: Solve for x
    x = 2,760,734.26/2,106.35
  6. Step 6: Final answer
    x = 1,310.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.